Atkin-Lehner |
2+ 3+ 37- 67- |
Signs for the Atkin-Lehner involutions |
Class |
118992i |
Isogeny class |
Conductor |
118992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
23917392 = 24 · 32 · 37 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 -4 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-79,-110] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:6:1] |
Generators of the group modulo torsion |
j |
3451205632/1494837 |
j-invariant |
L |
2.6537110464771 |
L(r)(E,1)/r! |
Ω |
1.6639944402107 |
Real period |
R |
1.5947836225907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998686635 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59496c1 |
Quadratic twists by: -4 |